Write an equation in point-slope form of the line that passes through the given point and with the given slope m.

Mathematics

1 answer:

lara31 [8.8K]3 years ago

8 0

Y=3x+33; can you please make me brainiest?

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In the equation x^2+kx+54=0 one root is twice the other root find k

Maurinko [17]

Let r be the lesser root and r^2 be the greater.......the sum of the roots = -b/a = -[-6] / 1 = 6

So we have that

r^2 + r = 6 → r^2 + r - 6 = 0

Factor

(r + 3) (r - 2) = 0

So r = -3 or r = 2

Then r^2 = 9 or r^2 =4

And the product of the roots = c/a = k/a = k

So....k = (-3)(9) = -27 or k = (2)(4) = 8

Check

x^2 - 6x - 27 = 0 factors as (x + 3)(x - 9) = 0 and the roots are -3 and 9

x^2 - 6x + 8 = 0 factors as (x -2) (x - 4) =0 and the roots are 2 and 4

6 0

3 years ago

In numb3rs, they use math to solve crimes. One of the ways they use Math is to reveal patterns. What is the pattern in this sequ

Mama L [17]

Step-by-step explanation:

I think the first number is 2

Then 2 x 2 = 4 so there is a difference of 4 number

Then in between 6 and 14 there is a difference of 8 so 4 x 2 = 8

Then 16 so 8 x 2 = 16

So after 126 the number is 254

5 0

3 years ago

At George Washington High School the ratio of graduating seniors that go on to college, as compared to those who do not, is 7 :

soldi70 [24.7K]

First you figure out that the ratio 7:4 is 1.75
Then you do this problem 28 divided by 1.75=16
And 28:16 is the same as 7:4
Now all you do is add 28+16=44

6 0

3 years ago

How do you distribute 4(x+1)

puteri [66]

Answer:

$4x+4$

Step-by-step explanation:

The distributive property of multiplication states that $a(b+c)=a*b+a*c$ , where $a$ , $b$ , and $c$ are any real numbers. In the case of $4(x+1)$ , we know that $a=4$ , $b=x$ , and $c=1$ . Therefore, using the distributive property, $4(x+1)=4*x+4*1=4x+4$ . Hope this helps!